Anderson localization of elementary excitations in a one-dimensional Bose-Einstein condensate
Laboratoire de Physique Théorique et Modèles Statistiques, Université Paris-Sud, bâtiment 100, 91405 Orsay Cedex, France
Corresponding author: a email@example.com
Revised: 18 May 2006
Published online: 12 July 2006
We study the elementary excitations of a transversely confined Bose-Einstein condensate in presence of a weak axial random potential. We determine the localization length (i) in the hydrodynamical low energy regime, for a domain of linear densities ranging from the Tonks-Girardeau to the transverse Thomas-Fermi regime, in the case of a white noise potential and (ii) for all the range of energies, in the “one-dimensional mean field regime”, in the case where the randomness is induced by a series of randomly placed point-like impurities. We discuss our results in view of recent experiments in elongated BEC systems.
PACS: 03.75.Kk – Dynamic properties of condensates; collective and hydrodynamic excitations, superfluid flow / 05.60.Gg – Quantum transport
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2006